
%% Saturn
warning off
clc;clear;
format longg
options_negx = odeset('RelTol',1e-13,'AbsTol',1e-13,'Events',@NegXcrossing);
options=odeset('RelTol',1e-13,'AbsTol',1e-13);
options_fmincon = optimoptions('fmincon', 'MaxFunctionEvaluations', 5000, ...
    'MaxIterations', 5000,'ConstraintTolerance',1e-6,'Algorithm','Interior-point','stepTolerance',1e-21);
%% Inputs.
G           = 6.674e-11 * ((1/1000)^3); % Gravitational parameters

mass_central = 1.989e30;
%[] Mass of central planet

mass_moon = 5.972e24;         %Callisto
%[] mass of moons

DU = 151.73e6;           %Callisto
%[km] Semi-major axis of Moons, used as distance units for each CRTBP
%environment.

moonName = {'Luna'};
%[] Name of the Moons

thetao = 0;
%[] Initial position of the moon relative to the first point of aries

GM_central = mass_central*G;
%[] Gravitational parameters

GM_moon = mass_moon*G;
%[] Gravitational parameters

N = length(mass_moon);
%[] Number of Moons

u = zeros(N,1);
for ii = 1:N
    u(ii) = GM_moon(ii)/(GM_moon(ii)+GM_central);
end
%[] Gravataional ratio

TU = zeros(N,1);
VU = zeros(N,1);
for ii = 1:N
    TU(ii) = sqrt(DU(ii)^3/GM_central);
    VU(ii) = DU(ii)/TU(ii);
end
%[] Time constant for each crtbp system

theta_dot = zeros(1,N);
for ii = 1:length(theta_dot)
    theta_dot(ii) = sqrt(GM_central*DU(ii))/DU(ii)^2;
end
%[] Theta dot for each planet.


planetNumb = 1;
[L1,L2,L3,L4,L5] = librationPoints(u(planetNumb));
L_ = [L1,L2,L3,L4,L5];
for ii = 1:length(L_)
    L_pos = L_(:,ii);
    J_L(ii) = jacobiConst(L_pos,zeros(3,1),u(planetNumb));
end

%% environment settings 
dt = 0.01;
startphase=0; % changing the starting position of the periodic
% orbit to show changes in the pole visibility based on the Satellite's position wrt the Sun's pole
rotationAxis = -7.25;
T1 = Rotation(cross([0;0;1],L_(:,4)),rotationAxis,'Degrees');
% OpenCRTBP_u(u)
%% Define inertial frame FNs
[xs,ys,zs] = ellipsoid(-0,0,0,696340,696340,696340,200);
s = surface(xs,ys,zs);
FN_temp = s.VertexNormals;
[row,col,depth] = size(FN_temp);
FN_i = zeros(size(FN_temp));
for ii = 1:row
    for jj = 1:col
        FN_i(ii,jj,:)=T1*[FN_temp(ii,jj,1);...
            FN_temp(ii,jj,2);...
            FN_temp(ii,jj,3)];
    end
end
%% Define rotating frame's FN
[xs,ys,zs] = ellipsoid(-u,0,0,696340/DU,696340/DU,696340/DU,200);
s = surface(xs,ys,zs);
FN_temp = s.VertexNormals;
[row,col,depth] = size(FN_temp);
FN_r = zeros(size(FN_temp));
for ii = 1:row
    for jj = 1:col
        FN_r(ii,jj,:)=T1*[FN_temp(ii,jj,1);...
                         FN_temp(ii,jj,2);...
                         FN_temp(ii,jj,3)];
    end
end
%%
load('SE_L4_Vertical.mat');
inc_list = zeros(1,length(T_L4_VL));
for ii = 1:length(T_L4_VL)
    IC = IC_L4_VL(:,ii);
    T = T_L4_VL(ii);
    [t,S] = ode113(@(t,S)CR3BP_n(t,S,u),[0:dt:T],IC,options);
    S = S';

    S_i = zeros(size(S));
    S_i = C2I_primary(S(:,ii),u,DU,VU,t(ii)+5.1+startphase);
    COE_list = State2Coe(S_i,GM_central);
    inc_list(ii) = COE_list(3);
end

%% Simulation paramters %%
CameraAngleCapability=55;
inc_desired = 14.5;
optval = min(abs(inc_list-inc_desired));
[ind_opt] = find(abs(inc_list-inc_desired)==optval);

%%
IC = IC_L4_VL(:,ind_opt);
T = T_L4_VL(ind_opt);
startTime=5.1;
plotVisibility_both(IC,T,u,FN_i,FN_r,CameraAngleCapability,startTime,DU,VU)
plotAccessibility_both(IC,T,u,FN_i,FN_r,CameraAngleCapability,startTime,DU,VU)

%%
